Conder, Matthew and Litterick, Alastair (2019) 'Further rigid triples of classes in G₂.' International Journal of Group Theory, 8 (4). pp. 5-9. ISSN 2251-7650
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IJGT_2019 _Vol 8_Issue 4_Pages 5-9.pdf - Published Version Available under License Creative Commons Attribution. Download (192kB) | Preview |
Official URL: https://dx.doi.org/10.22108/ijgt.2018.111467.1481
Abstract
We establish the existence of two rigid triples of conjugacy classes in the algebraic group G2 in characteristic 5, complementing results of the second author with Liebeck and Marion. As a corollary, the finite groups G2(5n) are not (2, 4, 5)-generated, confirming a conjecture of Marion in this case.
Item Type: | Article |
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Additional Information: | 5 pages. To appear in International Journal of Group Theory |
Uncontrolled Keywords: | triangle groups; finite groups of Lie type; representation varieties |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematical Sciences, Department of |
SWORD Depositor: | Elements |
Depositing User: | Elements |
Date Deposited: | 25 Sep 2019 15:34 |
Last Modified: | 06 Jan 2022 14:04 |
URI: | http://repository.essex.ac.uk/id/eprint/25306 |
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